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krek1111 [17]
3 years ago
11

2 Points

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

B

Step-by-step explanation:

First find the circumference of the circle with radius of 9 inches:

C=2\pi r=2\pi \cdot 9=18\pi \ inches

The full angle has 360°, so, to find the length of the arc DE, you can write:

360^{\circ}\ - \ 18\pi \\ \\145^{\circ}\ - \ x

which yields a proportion:

\dfrac{360}{145}=\dfrac{18\pi}{x}\\ \\360x=145\cdot 18\pi\\ \\x=\dfrac{145\cdot 18\pi }{360}=\dfrac{145\pi}{20}=7.25\pi\approx 22.8\ inches

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The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.
masya89 [10]

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

5 0
3 years ago
Q # 19 The data below shows the. number of hours a week on average group of students spend volunteering for community service pr
alisha [4.7K]
If those two are your only choices then the answer is none of the above. 

<em>Attached is a cumulative frequency table for your data.</em>

If you take a look at the two tables given, the frequencies were not tallied properly. If the frequency column is wrong, then the cumulative frequency will be wrong. 

The answer is then none of the above or find one that matches the table attached. 

7 0
3 years ago
What is the area of this parallelogram?
Alex Ar [27]
Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.

A= 6.8 x 4.5
A=30.6 cm²

Answer: 30.6 cm
²


7 0
3 years ago
5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in t
REY [17]

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

7 0
3 years ago
Please Help!!
Mrrafil [7]
Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. 
<span>If they join to work together they can complete the job in 3 hours. </span>
<span>1/x + 1/(x - 8) = 1/3 </span>
<span>3(x - 8) + 3x = x(x - 8) </span>
<span>x^2 - 14x + 24 = 0 </span>
<span>(x - 12)(x - 2) = 0 </span>
<span>Solutions: </span>
<span>x = 2 </span>
<span>x = 12 </span>
<span>Jimmy can complete the job on his own in 12 hours.</span>
6 0
3 years ago
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